Level 2
A rectangular tank has a base area of 50 cm2. It is half filled with water. If 4 bottles of water are poured into the tank, 250 mℓ of water will overflow. If 3 bottles of water are poured into the tank, 100 mℓ of water will overflow. Find the height of the tank.
2 m
Level 3
Bottle A and Bottle B have a total amount of 1050 mℓ of water. For Bottle B and Bottle C, the total amount of water is 1320 mℓ. The amount of water in Bottle A is 25 the amount of water in Bottle C. What is the average amount of water in the 3 bottles?
3 m
Level 3
The figure shows a cube with 3 painted parts A, B and C. These painted parts are of the same area and they are touching the midpoints of the sides of the cube. The total area of the painted parts is 96 cm2. Find the volume of 3 such cubes.
3 m
Level 3
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it.
3 m
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
  1. Find the area of the shaded face.
  2. Find the volume of the cube.
3 m